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10041413443 = 1741532291187
BaseRepresentation
bin10010101101000001…
…11100111101000011
3221220210200122200121
421112200330331003
5131031100212233
64340222201111
7503556414565
oct112640747503
927823618617
1010041413443
1142931305a6
121b42a23197
13c4045a479
146b3863335
153db83d92d
hex25683cf43

10041413443 has 32 divisors (see below), whose sum is σ = 11154749760. Its totient is φ = 8999178240.

The previous prime is 10041413429. The next prime is 10041413467. The reversal of 10041413443 is 34431414001.

10041413443 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10041413443 is a prime.

It is a super-2 number, since 2×100414134432 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10041413413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8458896 + ... + 8460082.

It is an arithmetic number, because the mean of its divisors is an integer number (348585930).

Almost surely, 210041413443 is an apocalyptic number.

10041413443 is a deficient number, since it is larger than the sum of its proper divisors (1113336317).

10041413443 is a wasteful number, since it uses less digits than its factorization.

10041413443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10041413443 its reverse (34431414001), we get a palindrome (44472827444).

The spelling of 10041413443 in words is "ten billion, forty-one million, four hundred thirteen thousand, four hundred forty-three".

Divisors: 1 17 41 53 229 697 901 1187 2173 3893 9389 12137 20179 36941 48667 62911 159613 206329 271823 497617 827339 1069487 2579351 4620991 8459489 11144743 14406619 43848967 189460631 244912523 590671379 10041413443